Description: The number of closed walks (defined as words) with a fixed length is the sum of the sizes of all equivalence classes according to .~ . (Contributed by Alexander van der Vekens, 10-Apr-2018) (Revised by AV, 30-Apr-2021)
Ref | Expression | ||
---|---|---|---|
Hypotheses | erclwwlkn.w | ||
erclwwlkn.r | |||
Assertion | hashclwwlkn0 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | erclwwlkn.w | ||
2 | erclwwlkn.r | ||
3 | 1 2 | erclwwlkn | |
4 | 3 | a1i | |
5 | clwwlknfi | ||
6 | 1 5 | eqeltrid | |
7 | 4 6 | qshash |